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20012022
most citedAutomated polyp detection in colon capsule endoscopy

306 citations

Showing 2012 · math.DSShow all

5 papers · 2 filters

math.DS2012★ 16 cited

Shades of Hyperbolicity for Hamiltonians

M. Bessa, J. Rocha, M. J. Torres

We prove that a C2 Hamiltonian system H in M is globally hyperbolic if any of the following statements holds: H is robustly topologically stable; H is stably shadowable; H is stabl…

math.DS2012★ 30 cited

Extreme value statistics for dynamical systems with noise

Davide Faranda, Jorge Milhazes Freitas, Valerio Lucarini +2

We study the distribution of maxima (Extreme Value Statistics) for sequences of observables computed along orbits generated by random transformations. The underlying, deterministic…

math.DS2012★ 70 cited

Laws of rare events for deterministic and random dynamical systems

Hale Aytaç, Jorge Milhazes Freitas, Sandro Vaienti

The object of this paper is twofold. From one side we study the dichotomy, in terms of the Extremal Index of the possible Extreme Value Laws, when the rare events are centred aroun…

math.DS2012★ 53 cited

The compound Poisson limit ruling periodic extreme behaviour of non-uniformly hyperbolic dynamics

Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mike Todd

We prove that the distributional limit of the normalised number of returns to small neighbourhoods of periodic points of non-uniformly hyperbolic dynamical systems is compound Pois…

math.DS2012★ 1 cited

Global Dynamics for Symmetric Planar Maps

B. Alarcon, S. B. S. D. Castro, I. S. Labouriau

We consider sufficient conditions to determine the global dynamics for equivariant maps of the plane with a unique fixed point which is also hyperbolic. When the map is equivariant…